Sun Zhiwei (Chinese: 孙智伟; pinyin: Sūn Zhìwěi; Wade–Giles: Sun Chih-wei, born October 16, 1965) is a Chinese mathematician, working primarily in number theory, combinatorics, and group theory. He is a professor at Nanjing University.

Biography

Sun Zhiwei was born in Huai'an, Jiangsu. Sun and his twin brother Sun Zhihong proved a theorem about what are now known as the Wall–Sun–Sun primes.

Sun proved Sun's curious identity in 2002.[1] In 2003, he presented a unified approach to three topics of Paul Erdős in combinatorial number theory: covering systems, restricted sumsets, and zero-sum problems or EGZ Theorem.[2]

With Stephen Redmond, he posed the Redmond–Sun conjecture in 2006.

In 2013, he published a paper containing many conjectures on primes, one of which states that for any positive integer there are consecutive primes not exceeding such that , where denotes the -th prime.[3]

He is the Editor-in-Chief of the Journal of Combinatorics and Number Theory.

Notes

  1. ↑ Sun, Zhi-Wei (2002), "A curious identity involving binomial coefficients" (PDF), INTEGERS: The Electronic Journal of Combinatorial Number Theory, 2: A04
  2. ↑ Unification of zero-sum problems, subset sums and covers of
  3. ↑ On functions taking only prime values, J. Number Theory 133(2013), 2794-2812
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